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Finding the Fourth Proportional to 5,890.25, 8,120.03 and 3,897.47

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Solution

The fourth proportional to 5,890.25, 8,120.03 and 3,897.47 is: 5,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.25 : 8,120.03 = 3,897.47 : x
  2. Step 2: Convert to fraction form
    5,890.25/8,120.03 = 3,897.47/x
  3. Step 3: Cross multiply
    5,890.25x = 8,120.03 × 3,897.47
  4. Step 4: Simplify right side
    5,890.25x = 31,647,513.24
  5. Step 5: Solve for x
    x = 31,647,513.24/5,890.25
  6. Step 6: Final answer
    x = 5,372.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.